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Finding the Fourth Proportional to 233,482.83, 350,224.35 and 180,252.54

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Solution

The fourth proportional to 233,482.83, 350,224.35 and 180,252.54 is: 270,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,482.83 : 350,224.35 = 180,252.54 : x
  2. Step 2: Convert to fraction form
    233,482.83/350,224.35 = 180,252.54/x
  3. Step 3: Cross multiply
    233,482.83x = 350,224.35 × 180,252.54
  4. Step 4: Simplify right side
    233,482.83x = 63,128,828,657.35
  5. Step 5: Solve for x
    x = 63,128,828,657.35/233,482.83
  6. Step 6: Final answer
    x = 270,378.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.